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Below are tabulated bases (temperamental Minkowski bases) of minimal temperamental complexity for the pitch classes of various regular temperaments.

Rank Three


Seven limit

Comma
Name
Gen 1
Length
Gen 2
Length
Angle
686/675
Keema
15/14
0.6977
3/2
1.4208
103.732
64/63
Archytas
3/2
1.0508
5/4
2.3219
90.000
875/864
Keema
6/5
0.8879
3/2
1.3391
77.834
81/80
Didymus
3/2
0.5451
8/7
2.8074
90.000
3125/3087
Gariboh
25/21
0.5928
21/20
1.2018
80.810
2430/2401
Nuwell
7/6
0.6247
9/7
1.1894
94.044
50421/50000
Trimyna
7/5
0.3158
5/4
1.7938
94.101
245/243
Sensamagic
3/2
0.9644
9/7
1.0807
96.914
126/125
Starling
6/5
1.068
5/4
1.206
100.364
4000/3969
Octagar
63/50
0.8966
21/20
1.0605
97.743
1728/1715
Orwellisma
7/6
0.7526
3/2
1.3931
97.508
1029/1024
Gamelisma
8/7
0.5192
5/4
2.3219
90.000
225/224
Marvel
16/15
1.256
3/2
1.369
106.958
3136/3125
Hemimean
28/25
0.5055
3/2
1.5849
90.000
5120/5103
Hemifamity
3/2
0.5670
10/9
1.8063
82.112
6144/6125
Porwell
35/32
0.9584
35/24
1.1877
92.681
65625/65536
Horwell
5/4
0.6213
16/15
1.3863
64.638
703125/702464
Meter
75/56
0.7305
375/224
0.7675
97.289
420175 / 419904
Wizma
245/216
0.5541
324/245
0.9731
79.663
2401/2400
Breedsma
49/40
0.7858
8/7
1.1241
107.367
4375/4374
Ragisma
10/9
0.7890
6/5
0.9208
105.299

Eleven limit

Commas
Name
Gen 1
Length
Gen 2
Length
Angle
225/224&385/384
Marvel
16/15
1.0364
5/4
1.0759
104.028
225/224&441/400
Prodigy
16/15
0.9111
3/2
0.9477
65.933
99/98&176/175
Minerva
16/15
0.8997
5/4
1.0457
98.604
126/125&176/175
Thrush
5/4
0.8576
6/5
0.9314
74.624
56/55&100/99
Thrasher
6/5
0.9089
5/4
1.2007
98.845